已知非空集合A={x|2a+1≤x≤3a-5},B={x|3≤x≤22},则能使A含于 (A∩B) 成立的所有a值
设U={1,2,3,4,5,6,7,8,9},( CuA)∩B={3,7},( CUB)∩A={2,8},(CU A)∩( CUB)={1,5,6},则集合A=________,B=____.
人气:227 ℃ 时间:2019-10-29 12:55:14
解答
1.
A含于 (A∩B)
说明A是B的子集
所以2a+1≤3a-5,2a+1≥3,3a-5≤22
所以a≥6,a≥1,a≤9
所以6≤a≤9
2.
U={1,2,3,4,5,6,7,8,9}
(CuA)∩B={3,7},(CuB)∩A={2,8},(CuA)∩(CuB)={1,5,6}
所以A={2,4,8,9},B={3,4,7,9}
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